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Each question below is followed by two S...

Each question below is followed by two Statements I and II. You have to determine whether the data given in the statements are sufficient for answering the question. You should use the data and your knowledge of Mathematics to choose between the possible answers. Give answer
How many marks did Anand get in Biology?
I. Anand got 42 marks in English which were half the marks he got in Biology
II. Anand's marks in Biology were 14% of the total marks he got in all the subjects together.

A

if the Statement I alone is sufficient to answer the question but the Statement II alone is not sufficient.

B

if the Statement II alone is sufficient to answer the question but the Statement I alone is not sufficient.

C

if both Statement I and II together are needed to answer the question.

D

if either the Statement I alone or Statement II alone is sufficient to answer the question.

Text Solution

AI Generated Solution

The correct Answer is:
To solve the question of how many marks Anand got in Biology, we will analyze the two statements provided. **Step 1: Analyze Statement I** Statement I states: "Anand got 42 marks in English which were half the marks he got in Biology." From this statement, we can derive the following equation: Let \( B \) be the marks Anand got in Biology. According to the statement: \[ 42 = \frac{1}{2} B \] To find \( B \), we can multiply both sides of the equation by 2: \[ B = 42 \times 2 = 84 \] So, from Statement I alone, we can conclude that Anand got 84 marks in Biology. **Step 2: Analyze Statement II** Statement II states: "Anand's marks in Biology were 14% of the total marks he got in all the subjects together." Let \( T \) be the total marks Anand got in all subjects. According to this statement: \[ B = 0.14 T \] We cannot determine the exact value of \( B \) (marks in Biology) without knowing the total marks \( T \). Therefore, Statement II alone is not sufficient to answer the question. **Step 3: Combine Statements I and II** Now, let's combine both statements to check if they provide any additional information. From Statement I, we found that \( B = 84 \). From Statement II, we have: \[ B = 0.14 T \] Substituting \( B = 84 \) into the equation from Statement II: \[ 84 = 0.14 T \] To find \( T \), we can rearrange the equation: \[ T = \frac{84}{0.14} = 600 \] Now we have both \( B \) and \( T \): - \( B = 84 \) - \( T = 600 \) Thus, we can confirm that the marks Anand got in Biology is 84. **Conclusion:** The answer to the question "How many marks did Anand get in Biology?" is: \[ \text{Anand got 84 marks in Biology.} \]
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